Information on Result #611570
Linear OA(317, 82, F3, 7) (dual of [82, 65, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 82 | 38−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(319, 85, F3, 7) (dual of [85, 66, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(326, 91, F3, 9) (dual of [91, 65, 10]-code) | [i] | ✔ | |
| 3 | Linear OA(338, 96, F3, 12) (dual of [96, 58, 13]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 4 | Linear OA(326, 92, F3, 9) (dual of [92, 66, 10]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 5 | Linear OA(3238, 177229, F3, 30) (dual of [177229, 176991, 31]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |